Positivity of polarizations of n-positive maps

Positivity of polarizations of n-positive maps

It is shown that polarization formulas have explicit matrix representations. This enables us to prove that polarization formulas of n-positive maps between C^{*}-algebras are coordinatewise positive.

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Veröffentlicht in:Proceedings of the American Mathematical Society 1999-03, Vol.127 (3), p.783-789
1. Verfasser: Piotr Kicinski
Format: Artikel
Sprache:eng
Schlagworte:
Integers
Mathematical induction
Mathematical inequalities
Matrices
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Zusammenfassung:It is shown that polarization formulas have explicit matrix representations. This enables us to prove that polarization formulas of n-positive maps between C^{*}-algebras are coordinatewise positive.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-99-04588-8